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Journal of the London Mathematical Society 1987 s2-36(2):327-338; doi:10.1112/jlms/s2-36.2.327
© 1987 by London Mathematical Society
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© Oxford University Press

Matrix Operators and Hyperinvariant Subspaces

F. Radulescu and F.-H. Vasilescu

Department of Mathematics, The National Institute for Scientific and Technical Creation Bdul Pacii 220, 79622 Bucharest, Romania

In this paper we study the super-decomposability of some matrix operators as well as some other special properties. These matrix operators are derived from non-analytic functional calculi. As by-products, we obtain statements concerning the existence of (non-trivial) hyperinvariant subspaces.


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